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Finding the Fourth Proportional to 708.99, 1,064.16 and 435.61

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Solution

The fourth proportional to 708.99, 1,064.16 and 435.61 is: 653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.99 : 1,064.16 = 435.61 : x
  2. Step 2: Convert to fraction form
    708.99/1,064.16 = 435.61/x
  3. Step 3: Cross multiply
    708.99x = 1,064.16 × 435.61
  4. Step 4: Simplify right side
    708.99x = 463,556.56
  5. Step 5: Solve for x
    x = 463,556.56/708.99
  6. Step 6: Final answer
    x = 653.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.